結果

問題 No.1181 Product Sum for All Subsets
ユーザー suta28407928
提出日時 2020-08-22 11:23:39
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
CE  
(最新)
AC  
(最初)
実行時間 -
コード長 3,726 bytes
コンパイル時間 829 ms
コンパイル使用メモリ 90,640 KB
最終ジャッジ日時 2025-03-27 09:09:53
合計ジャッジ時間 1,567 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge3
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コンパイルエラー時のメッセージ・ソースコードは、提出者また管理者しか表示できないようにしております。（リジャッジ後のコンパイルエラーは公開されます）
ただし、clay言語の場合は開発者のデバッグのため、公開されます。

コンパイルメッセージ
main.cpp:66:16: error: ‘std::uint_fast64_t’ has not been declared
   66 | template <std::uint_fast64_t Modulus> class modint {
      |                ^~~~~~~~~~~~~
main.cpp:67:20: error: ‘uint_fast64_t’ in namespace ‘std’ does not name a type
   67 |   using u64 = std::uint_fast64_t;
      |                    ^~~~~~~~~~~~~
main.cpp:19:1: note: ‘std::uint_fast64_t’ is defined in header ‘<cstdint>’; did you forget to ‘#include <cstdint>’?
   18 | #include <complex>
  +++ |+#include <cstdint>
   19 | using namespace std;
main.cpp:70:3: error: ‘u64’ does not name a type
   70 |   u64 a;
      |   ^~~
main.cpp:72:26: error: ‘u64’ does not name a type
   72 |   constexpr modint(const u64 x = 0) noexcept : a(x % Modulus) {}
      |                          ^~~
main.cpp:73:13: error: ‘u64’ does not name a type
   73 |   constexpr u64 &value() noexcept { return a; }
      |             ^~~
main.cpp:74:19: error: ‘u64’ does not name a type
   74 |   constexpr const u64 &value() const noexcept { return a; }
      |                   ^~~
main.cpp: In function ‘int main()’:
main.cpp:157:9: error: ‘mint’ was not declared in this scope; did you mean ‘uint’?
  157 |         mint ans = tmp;
      |         ^~~~
      |         uint
main.cpp:158:9: error: ‘ans’ was not declared in this scope; did you mean ‘abs’?
  158 |         ans -= tmp2;
      |         ^~~
      |         abs

ソースコード

diff # 

#include <iostream>
#include <string>
#include <cstdlib>
#include <cmath>
#include <vector>
#include <unordered_map>
#include <map>
#include <set>
#include <algorithm>
#include <queue>
#include <stack>
#include <functional>
#include <bitset>
#include <assert.h>
#include <unordered_map>
#include <fstream>
#include <ctime>
#include <complex>
using namespace std;
typedef long long ll;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<char> vc;
typedef vector<string> vs;
typedef vector<bool> vb;
typedef vector<double> vd;
typedef pair<ll,ll> P;
typedef pair<int,int> pii;
typedef vector<P> vpl;
typedef tuple<ll,ll,ll> tapu;
#define rep(i,n) for(int i=0; i<(n); i++)
#define REP(i,a,b) for(int i=(a); i<(b); i++)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
const int inf = 1<<30;
const ll linf = 1LL<<62;
const int MAX = 1020000;
ll dy[8] = {1,-1,0,0,1,-1,1,-1};
ll dx[8] = {0,0,1,-1,1,-1,-1,1};
const double pi = acos(-1);
const double eps = 1e-7;
template<typename T1,typename T2> inline bool chmin(T1 &a,T2 b){
	if(a>b){
		a = b; return true;
	}
	else return false;
}
template<typename T1,typename T2> inline bool chmax(T1 &a,T2 b){
	if(a<b){
		a = b; return true;
	}
	else return false;
}
template<typename T> inline void print(T &a){
    rep(i,a.size()) cout << a[i] << " ";
    cout << "\n";
}
template<typename T1,typename T2> inline void print2(T1 a, T2 b){cout << a << " " << b << "\n";}
template<typename T1,typename T2,typename T3> inline void print3(T1 a, T2 b, T3 c){
	cout << a << " " << b << " " << c << "\n";
}
ll pcount(ll x) {return __builtin_popcountll(x);}
const int mod = 1e9 + 7;
//const int mod = 998244353;

template <std::uint_fast64_t Modulus> class modint {
  using u64 = std::uint_fast64_t;

public:
  u64 a;

  constexpr modint(const u64 x = 0) noexcept : a(x % Modulus) {}
  constexpr u64 &value() noexcept { return a; }
  constexpr const u64 &value() const noexcept { return a; }
  constexpr modint operator+(const modint rhs) const noexcept {
	return modint(*this) += rhs;
  }
  constexpr modint operator-(const modint rhs) const noexcept {
	return modint(*this) -= rhs;
  }
  constexpr modint operator*(const modint rhs) const noexcept {
	return modint(*this) *= rhs;
  }
  constexpr modint operator/(const modint rhs) const noexcept {
	return modint(*this) /= rhs;
  }
  constexpr modint &operator+=(const modint rhs) noexcept {
	a += rhs.a;
	if (a >= Modulus) {
	  a -= Modulus;
	}
	return *this;
  }
  constexpr modint &operator-=(const modint rhs) noexcept {
	if (a < rhs.a) {
	  a += Modulus;
	}
	a -= rhs.a;
	return *this;
  }
  constexpr modint &operator*=(const modint rhs) noexcept {
	a = a * rhs.a % Modulus;
	return *this;
  }
  constexpr modint &operator/=(modint rhs) noexcept {
	u64 exp = Modulus - 2;
	while (exp) {
	  if (exp % 2) {
		*this *= rhs;
	  }
	  rhs *= rhs;
	  exp /= 2;
	}
	return *this;
  }
};

using mint = modint<mod>;

vector<ll> fac(MAX), finv(MAX), inv(MAX);

void comInit(){
	fac[0] = fac[1] = 1;
	finv[0] = finv[1] = 1;
	inv[1] = 1;
	for(ll i=2; i<MAX; i++){
		fac[i] = fac[i-1]*i % mod;
		inv[i] = mod - inv[mod%i] * (mod/i) % mod;
		finv[i] = finv[i-1] * inv[i] % mod;
	}
}


ll com(ll n, ll k){
	if(n < k) return 0;
	if(n < 0 || k < 0) return 0;
	return fac[n] * (finv[k] * finv[n-k] % mod) % mod;
}

ll modpow(ll x, ll n, ll mod){
	ll res = 1;
	while(n > 0){
		if(n & 1) res = res * x % mod;
		x = x * x % mod;
		n >>= 1;
	}
	return res;
}

int main(){
	comInit();
	ll n,k; cin >> n >> k; k %= mod;
	ll tmp = k * (k+3) % mod * inv[2] % mod;
	tmp = modpow(tmp, n, mod);
	ll tmp2 = k * (k+1) % mod * inv[2] % mod;
	tmp2 = modpow(tmp2, n, mod);
	mint ans = tmp;
	ans -= tmp2;
	cout << ans.value() << "\n";
}
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